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Write the number between 80 and 100 that has exactly 3 factors one of which is 5?
Wiki User
∙ 7y ago
To have an odd number of factors, the number must be a square.
The only squares between 80 and 100 ()inclusive) are 81 and 100 but 81 does not have a factor of 5, and 100 has 9 factors.
Thus the problem (as stated) has no solution.
The numbers which have a factor of 5 must end in 0 or 5; the only numbers between 80 and 100 (inclusive) which match this criteria are {80, 85, 90, 95, 100}, which have {10, 4, 12, 4, 9} respectively.
If you meant 3 PROPER factors (ie all the factors excluding the number itself), then 85 and 95 both have 3 proper factors.
Wiki User
∙ 7y ago
Wiki User
∙ 7y agoThe only way for a number to have exactly 3 factors is to take the square of a prime. In this case, the problem has no solution.
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